等效原理算法在不同等效面下的误差分析

党训旺; 李懋坤; 杨帆; 许慎恒

doi:10.13700/j.bh.1001-5965.2015.0214

等效原理算法在不同等效面下的误差分析

doi: 10.13700/j.bh.1001-5965.2015.0214

党训旺¹,
李懋坤^1,2, ,,
杨帆^1,2,
许慎恒^1,2

1.
清华大学电子工程系, 北京 100084
2. 清华信息科学与技术国家实验室(筹), 北京 100084

基金项目: 清华大学电子工程系传信研究基金

详细信息

作者简介:
党训旺(1992-),男,河北盐山人,博士研究生,dxw13@mails.tsinghua.edu.cn

通讯作者:
李懋坤(1979-),男,辽宁锦州人,副教授,maokunli@tsinghua.edu.cn,主要研究方向为计算电磁学.

中图分类号: TN011
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- 被引次数: 0
出版历程
- 收稿日期: 2015-04-10
- 修回日期: 2015-04-24
- 网络出版日期: 2015-10-20

Error analysis of equivalence principle algorithm on different equivalence surfaces

DANG Xunwang¹,
LI Maokun^{1,2
, ,},
YANG Fan^1,2,
XU Shenheng^1,2

1.
Department of Electronic Engineering, Tsinghua University, Beijing 100084, China
2. Tsinghua National Laboratory for Information Science and Technology(TNist), Beijing 100084, China

摘要

摘要: 等效原理算法(EPA)借鉴了区域分解的思想,并基于惠更斯等效原理实现了对大规模散射问题的计算.本文对EPA中的等效原理算子(EPO)进行了误差分析,选取了立方体、球体和进行了光滑处理的立方体等作为等效面寻找误差来源,并提出了误差改进的建议.根据计算结果,等效磁流在等效面上描述的误差一般集中在等效面表面的几何不连续处,且主要受等效面上的法向向量不连续性和基函数的选取的影响.故在选取等效面时应尽量考虑使用平滑的等效面,而不是直接使用立方体等效面.
- 惠更斯等效原理 /
- 区域分解方法 /
- 误差分析 /
- 计算电磁学 /
- RWG基函数
Abstract: Equivalence principle algorithm (EPA) is a domain decomposition algorithm based on the Huygens' equivalence principle to solve large scale scattering problems. The errors of the equivalence principle operator (EPO) in EPA using cubic, spherical and smooth cubic equivalence surfaces were analyzed to find the source of errors. The sources of the error were investigated and a simple scheme to improve its accuracy was developed. From the numerical examples, it shows that the error of equivalent magnetic current is mainly concentrated on geometrical discontinuity of the equivalence surface, and affected by both the discontinuity of the normal vector on the equivalence surface and the choice of basis functions. Therefore it is suggested to choose smooth equivalence surfaces if possible rather than to use cubic ones directly.
- Huygens equivalence principle /
- domain decomposition method /
- error analysis /
- computational electromagnetics /
- RWG basis function

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参考文献(18)

[1]	Andriulli F P,Cools K,Bagci H,et al.A multiplicative Calderon preconditioner for the electric field integral equation[J].IEEE Transactions on Antennas and Propagation,2008,56(8):2398-2412.
[2]	Heldring A,Rius J M,Tamayo J M,et al.Multiscale compressed block decomposition for fast direct solution of method of moments linear system[J].IEEE Transactions on Antennas and Propagation,2011,59(2):526-536.
[3]	Li Y J,Jin J M.A new dual-primal domain decomposition approach for finite element simulation of 3-D large-scale electromagnetic problems[J].IEEE Transactions on Antennas and Propagation,2007,55(10):2803-2810.
[4]	Peng Z,Wang X C,Lee J F.Integral equation based domain decomposition method for solving electromagnetic wave scattering from non-penetrable objects[J].IEEE Transactions on Antennas and Propagation,2011,59(9):3328-3338.
[5]	Li M K,Chew W C,Jiang L J.A domain decomposition scheme based on equivalence theorem[J].Microwave and Optical Technology Letters,2006,48(9):1853-1857.
[6]	Li M K,Chew W C.Wave-field interaction with complex structures using equivalence principle algorithm[J].IEEE Transactions on Antennas and Propagation,2007,55(1):130-138.
[7]	Li M K,Chew W C.Multiscale simulation of complex structures using equivalence principle algorithm with high-order field point sampling scheme[J].IEEE Transactions on Antennas and Propagation,2008,56(8):2389-2397.
[8]	Ylä-Oijala P,Taskinen M.Electromagnetic scattering by large and complex structures with surface equivalence principle algorithm[J].Waves in Random and Complex Media,2009,19(1):105-125.
[9]	Shao H,Hu J,Guo H,et al.Fast simulation of array structures using T-EPA with hierarchical LU decomposition[J].IEEE Antennas and Wireless Propagation Letters,2012,11:1560-1563.
[10]	Sun L E,Chew W C,Jin J M.Augmented equivalence principle algorithm at low frequencies[J].Microwave and Optical Technology Letters,2010,52(10):2274-2279.
[11]	Qian Z G,Chew W C.Fast full-wave surface integral equation solver for multiscale structure modeling[J].IEEE Transactions on Antennas and Propagation,2009,57(11):3594-3601.
[12]	Zhang K,Ouyang J,Yang F,et al.Radiation analysis of large antenna array by using periodic equivalence principle algorithm[J].Progress in Electromagnetics Research,2013,136:43-59.
[13]	Shi Y,Wang J,Liang C H.A time-domain equivalence principle and its marching-on-in-degree solution[J].Microwave and Optical Technology Letters,2014,56(10):2415-2422.
[14]	杨晨.基于等效原理的区域分解算法[D].南京:南京理工大学,2013.Yang C.Domain decomposition method based on equivalence principle[D].Nanjing:Nanjing University of Science and Technology,2013(in Chinese).
[15]	张博.等效原理算法及其结合快速算法分析目标的电磁散射[D].西安:西安电子科技大学,2013.Zhang B.Scattering analysis of target using equivalent principle algorithm and its fast algorithm[D].Xi'an:Xidian University,2013(in Chinese).
[16]	Chew W C.Waves and fields in inhomogeneous media[M].Piscataway,NJ:IEEE Press,1995:29,186.
[17]	Rao S M,Wilton D,Glisson A W.Electromagnetic scattering by surfaces of arbitrary shape[J].IEEE Transactions on Antennas and Propagation,1982,30(3):409-418.
[18]	Jin J M.Theory and computation of electromagnetic fields[M].Hoboken,New Jersey:John Wiley & Sons,2011:439-440.